In: Finance
Gerry pays $W to buy a ten-year annuity with end-of-year payments of $1,400. This purchase price allows her to replace her capital by means of a savings account that has an annual effective interest rate of 3% and also to earn an overall annual yield of 6% for the ten years of the annuity. Find W.? The answer is 9508.9. Please show steps to the answer without use of excel.
Opening Balance (A) |
Interest at 7.73% (B) |
Total Closing (A)+(B)=© |
Annuity (D) |
Balance at year End ©-(D) |
9,508.90 | 735.04 | 10,243.94 | 1,400.00 | 8,843.94 |
8,843.94 | 683.64 | 9,527.57 | 1,400.00 | 8,127.57 |
8,127.57 | 628.26 | 8,755.84 | 1,400.00 | 7,355.84 |
7,355.84 | 568.61 | 7,924.44 | 1,400.00 | 6,524.44 |
6,524.44 | 504.34 | 7,028.78 | 1,400.00 | 5,628.78 |
5,628.78 | 435.10 | 6,063.89 | 1,400.00 | 4,663.89 |
4,663.89 | 360.52 | 5,024.40 | 1,400.00 | 3,624.40 |
3,624.40 | 280.17 | 3,904.57 | 1,400.00 | 2,504.57 |
2,504.57 | 193.60 | 2,698.17 | 1,400.00 | 1,298.17 |
1,298.17 | 100.35 | 1,398.52 | 1,400.00 | (1.48) |